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Finite Element Methods for Maxwell's Equations Peter Monk
Publisher: Oxford University Press, USA

Review of basic field theory – electric and magnetic fields – Maxwell's equations – Laplace, Poisson and Helmoltz equations – principle of energy conversion Difference Method. Finite-element Methods for Electromagnetics by Stanley Humphries. COMSOL Multiphysics (formerly FEMLAB) is a finite element analysis, solver and Simulation software package for various physics and engineering applications, especially coupled phenomena, or multiphysics. But the last project used two differnt modelling techniques the first was a rigorous coupled-wave method, which basically solves maxwell's equations throughout the setup, and the second was a finite element method. HFSS uses to solve the equations of electrodynamics, the finite element method (Finite Element Method, FEM), which includes adaptive generation and division of cells. Maxwell's equations are a set of partial differential equations that, together with the Lorentz force law, form the foundation of classical electrodynamics, classical optics, and electric circuits. SOLUTION OF FIELD EQUATIONS II 9. Gauss's law and charge density. Finite-Element Electrostatic Equations. Finite element method (FEM) – Differential/ integral functions – Variational method – Energy minimization – Discretisation – Shape functions –Stiffness matrix –1D and 2D planar and axial symmetry problem. The Basic governing equation are the well known Maxwells equation which gives the magnetic field in terms of a Magentic Diffusion equation given as: dB/dt = 1/(sigma*mu)*(del^2(B)) --------------- (1) . It may also serve to verify the implementations of the numerical methods to solve the Maxwell equations in 3D, such as the finite-difference and finite-element method.